Prime p₀= 2734886512570442141 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 124 2 10 2 76 2 22 2 (?)
a_n: 0 2 18 20 30 32 156 158 168 170 246 248 270 272
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 272
Found by: suriv
db: batch=82, k=14, 16 10 124 10 76 22

STPT(10)	2734884892019180447	0 2 30 32 42 44 54 56 84 86	-1620551261694
SPT(16)	2734885301563329403	0 4 10 34 54 60 100 124 144 168 208 214 234 258 264 268	-1211007112738
TPT(14)	2734885441249051631	0 2 90 92 210 212 270 272 336 338 366 368 396 398	-1071321390510
SPT(16)	2734885940123908069	0 10 22 28 58 88 100 118 144 162 174 204 234 240 252 262	-572446534072
STPT(10)	2734886371193738987	0 2 30 32 42 44 54 56 84 86	-141376703154
STPT(10)	2734886372817005711	0 2 36 38 168 170 300 302 336 338	-139753436430
SPT(16)	2734886555105148203	0 26 44 84 110 114 116 126 158 168 170 174 200 240 258 284	42534706062
SPT(16)	2734886585490105511	0 40 58 72 106 148 168 178 180 190 210 252 286 300 318 358	72919663370
STPT(10)	2734886640786002147	0 2 30 32 42 44 54 56 84 86	128215560006
STPT(10)	2734887090557427719	0 2 12 14 90 92 168 170 180 182	577986985578
SPT(16)	2734887758426806373	0 26 30 66 108 114 150 156 248 254 290 296 338 374 378 404	1245856364232